Resistors Parallel
Calculator
Results
- Total resistance (Ω)
- 56.896551
- Total conductance (S)
- 0.017575
- Circuit current (A)
- 0.210909
Electrical results
| Total resistance (Ω) | 56.896551 |
| Total conductance (S) | 0.017575 |
| Circuit current (A) | 0.210909 |
formula-map diagram
- Total resistance (Ω)
- 56.896551
- Total conductance (S)
- 0.017575
- Circuit current (A)
- 0.210909
Electrical relationship
Formula
1/R_total = 1/R1 + 1/R2 + 1/R3= 56.896551724138
Note
This is a simplified model: it applies the textbook relationship to the numbers you entered and assumes ideal components, steady-state sinusoidal conditions, balanced loads and copper resistivity of 0.0172 Ω·mm²/m at 20 °C. It ignores component tolerances, temperature drift, skin effect, harmonics, inrush, transformer and battery losses, and it is not a substitute for the wiring code that applies where you are. Have any installation sized and verified by a licensed electrician or engineer.
More in Electrical engineering
See all →Frequently asked questions
What's the formula for resistors in parallel?+
For two resistors, R_total = (R1 x R2) / (R1 + R2). For three or more, use 1/R_total = 1/R1 + 1/R2 + 1/R3 + ..., then take the reciprocal of the sum.
Why is the total resistance always smaller than the smallest resistor?+
Each parallel branch gives current an additional path, so the combined circuit conducts more easily than any single branch alone. That's why the equivalent resistance always ends up below the smallest individual value.
What if two resistors in parallel have equal values?+
The total is simply half of one resistor's value. For example, two 100 ohm resistors in parallel give 50 ohms — a shortcut you can use to sanity-check the general formula.
How does voltage behave across parallel resistors?+
All resistors in a parallel group share the exact same voltage across their terminals, since they're connected to the same two nodes. What differs is the current through each branch, which depends on that branch's resistance.
Does adding more resistors in parallel always lower the total resistance?+
Yes, every additional parallel branch gives current another path, so the equivalent resistance keeps decreasing (though by a shrinking amount each time). It never increases when you add a parallel branch.